Dangers of Mathematical Rules

Do you remember when you first learned how to round numbers? For example, to round 687 to the nearest hundred, we notice it’s between 600 and 700. Since 687 is closer to 700 than it is to 600, we round up to 700. Maybe you even learned a rule: Look at the digit to the right of the one you’re rounding. If it’s 5 or greater, round up. If it’s 4 or less, round down. Rules can be good, but they can also be dangerous.

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Goals of Tutoring

As I mentioned last month, I started work with Step Up Tutoring {{LINK}}. It’s been a lot of fun getting to know my student, and it’s been a rewarding experience already. I really believe in this group that I’m working with, so I’ve volunteered my time to help them work on pedagogy and curriculum, with the goal of creating an easy way for their tutors to put together the best sessions possible for their students.

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Tutoring Again

I’ve started tutoring through an organization called Step Up Tutoring. They run online-only free tutoring for students in grades 3 through 6 in the LA school district, one of the largets in the country. They haven’t been around long, but have already developed a great relationship with the district and a pretty robust network of tutors (mainly in California) to work with the students.

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Virtual Classrooms

Every student that was previously instructed in-person by my company has been on Zoom for over a year. While we’re making plans to transition our learning centers back to in-person come this Fall, we have also spun off a permanently-virtual version of these courses. Instead of letting this year be a fluke when considering curriculum and instruction, there has been significant time devoted to improving the experience of student learning in this online face-to-face environment. Here are some reflections on what I’ve learned over that time, both in teaching last year and helping adapt our curriculum.

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Algorithmic Thinking and Metacognition

I’m teaching a math camp for students entering 6th grade. It’s my first time being the teacher of record for a course, and luckily it only took a few minutes for my anxiety to subside. It’s a small group – only 9 kids – so it reminds me of my days being a camp counselor, except now it’s talking about math with very advanced kids for 3 hours a day. It’s been a blast.

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Are You Ready?

Assessments are a tricky business. Writing an exam that successfully tests a person’s knowledge or abilities, without inadvertently giving preference or advantage to certain demographics, is very difficult. The examinations I’ve written so far for my job fall into the category of testing whether a student has mastered a certain curriculum. After a couple of months of class, we give them an exam to check if they learned all that they were supposed to. Everybody is used to such tests, and everybody has experienced them.

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What Do Tests Test?

Over the past couple of weeks at work, I’ve been working on revising some of the exams for our elementary school curriculum. This has been an interesting task full of challenges. One thing I’m constantly working on is putting myself in the headspace of a bright, but still young, elementary school student. What wording can I allow in problems? How long can a problem be before we’re testing their reading comprehension instead of their math? How many problems should there be? How many problems of a certain level of difficulty? There are so many questions to discuss, but one is a bit more fundamental than all others, and can help inform the answers to each subsequent question. What do we want our test to test?
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